Differential Analysis, Spring 2004
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| Type: | Course Related Materials |
| Grade Level: | Post-secondary |
Author: Viaclovsky, Jeffrey Alan
Subject: Mathematics and Statistics
Institution Name:
M.I.T.
Collection Name: MIT OpenCourseWare
Abstract: Fall: Fundamental solutions for elliptic, hyperbolic and parabolic differential operators. Method of characteristics. Review of Lebesgue integration. Distributions. Fourier transform. Homogeneous distributions. Asymptotic methods. Spring: Sobolev spaces. Fredholm alternative. Variable coefficient elliptic, parabolic and hyperbolic linear partial differential equations. Variational methods. Viscosity solutions of fully nonlinear partial differential equations. The main goal of this course is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.
Details
Course Type: Full Course
Material Types: Homework and Assignments, Lecture Notes, Syllabi
Media Formats: Text/HTML, Downloadable docs
Language: English
Additional Information
Geographic
Regional Relevance: All
